Results 21 to 30 of about 966,035 (317)

Power Series Method For Solving Nonlinear Volterra Integro-Differential Equations of The Second Kind [PDF]

open access: yesEngineering and Technology Journal, 2010
In this work, we present the power series method for solving special typesof the first order nonlinear Volterra integro-differential equations of the second kind.
Hanan Mahmood Hasson
doaj   +1 more source

Irrational power series [PDF]

open access: yesProceedings of the American Mathematical Society, 1961
Here [x ] is the integer part of x. We write x = [x] + { x }, where x} is the fractional part of x. He has been good enough to let me see his manuscript and I am much obliged to him for this. His proof is very simple and really of an arithmetical nature.
openaire   +1 more source

Asymptotic series solution of variational stokes problems in planar domain with crack-like singularity

open access: yesApplied Mathematics in Science and Engineering, 2022
A class of nonlinear variational problems describing incompressible fluids and solids by stationary Stokes equations given in a planar domain with a crack (infinitely thin flat plate in fluids) is considered.
Victor A. Kovtunenko, Kohji Ohtsuka
doaj   +1 more source

On a High-Precision Method for Studying Attractors of Dynamical Systems and Systems of Explosive Type

open access: yesMathematics, 2022
The author of this article considers a numerical method that uses high-precision calculations to construct approximations to attractors of dynamical systems of chaotic type with a quadratic right-hand side, as well as to find the vertical asymptotes of ...
Alexander N. Pchelintsev
doaj   +1 more source

Irrational Power Series [PDF]

open access: yesProceedings of the American Mathematical Society, 1960
Then G is a rationalfunction of x if and only if a is a rational number. As usual, [x] denotes the integral part of x and { x } the fractional part of x, so that x = [x] + { x }. We first prove LEMMA 1. Let a be a real irrational number, and let R be a finite set of non-integral real numbers. Then there are infinitely many positive integers m such that
openaire   +1 more source

The Analitical Solution of Linear and Non-Linear Differential- Algebraic Equations (DAEs) with Laplace-Padé Series Method

open access: yesMANAS: Journal of Engineering
In this paper, we apply Laplace-Padé Series method to solve linear and non-linear differentialalgebraicequations (DAEs). Firstly, The basic properties of the Laplace-Padé Series method aregiven.
Nooriza Myrzabekova, Ercan Celık
doaj   +1 more source

On Benford’s Law and the Coefficients of the Riemann Mapping Function for the Exterior of the Mandelbrot Set

open access: yesFractal and Fractional, 2022
We investigate Benford’s law in relation to fractal geometry. Basic fractals, such as the Cantor set and Sierpinski triangle are obtained as the limit of iterative sets, and the unique measures of their components follow a geometric distribution, which ...
Filippo Beretta   +5 more
doaj   +1 more source

A three-phase to three-phase series-resonant power converter with optimal input current waveforms, Part II: implementation and results [PDF]

open access: yes, 1988
For pt.I see ibid., vol.35, no.2, p.263-8 (1988). A 15 kW three-phase prototype series-resonant power converter is constructed. The converter features sinusoidal output voltage and sinusoidal input currents. The control concepts and necessary electronics,
Huisman, H.; id_orcid   +2 more
core   +1 more source

Control and analysis of a unified power flow controller [PDF]

open access: yes, 1999
This paper presents a control scheme and comprehensive analysis for a unified power flow controller (UPFC) on the basis of theory, computer simulation and experiment.
Watanabe, Yasuhiro   +2 more
core   +1 more source

Energy-optimal current distribution in an electrical network – controlling by the differential or the integral systems [PDF]

open access: yesBulletin of the Polish Academy of Sciences: Technical Sciences, 2019
In the complex RLC network, apart from the currents flows arising from the normal laws of Kirchhoff, other distributions of current, resulting from certain optimization criteria, may also be received.
M. Siwczyński, S. Żaba, A. Drwal
doaj   +1 more source

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